Q. 23.9( 7 Votes )

# A toy is in the shape of a square pyramid of base edge 16 centimetres and slant height 10 centimetres. What is the total cost of painting 500 such toys, a 80 rupees per square metre?

Answer :

Given: side of a square = 16cm

Slant Height (l) = 10 cm

We know that,

Surface area of a pyramid

Where, p = perimeter of the base

l = slant height

A = area of the base

Area of a square base (A) = side × side

= 16 × 16

Area of a square base (A) = 256 cm^{2}

Perimeter of a square base (p) = 4 × side

= 4 × 16

Perimeter of a square base (p) = 64 cm

Since, Surface area of a pyramid

⇒ Surface area of a pyramid

Total surface area of pyramid shaped toys = 500 × 576

= 288000cm^{2}

= 28.8m^{2}

Cost of 1m^{2} = 80Rs.

Cost of 28.8m^{2} = 28.8 × 80 = 2304 Rs.

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